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Finding the Fourth Proportional to 38.44, 57.35 and 37.72

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Solution

The fourth proportional to 38.44, 57.35 and 37.72 is: 56.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.44 : 57.35 = 37.72 : x
  2. Step 2: Convert to fraction form
    38.44/57.35 = 37.72/x
  3. Step 3: Cross multiply
    38.44x = 57.35 × 37.72
  4. Step 4: Simplify right side
    38.44x = 2,163.24
  5. Step 5: Solve for x
    x = 2,163.24/38.44
  6. Step 6: Final answer
    x = 56.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.